Dayton's office said he will make an announcement on Wednesday morning from the state Capitol.

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Franken announced last week during a defiant Senate floor speech that he would step down after several women came forward and accused him of inappropriate conduct, including forced kissing and groping.

"I know in my heart that nothing I have done as a senator, nothing, has brought dishonor on this institution, and I am confident that the Ethics Committee would agree," he said from the Senate floor. "Nevertheless, today I am announcing that in the coming weeks I will be resigning as a member of the United States Senate."

Whoever Dayton selects will serve until a special election in 2018, when an election will decide who fills out the remainder of Franken's term.

A second election will be held in 2020 for a full six-year term.

It was reported last week that Dayton would likely appoint Lt. Gov. Tina Smith (D) to replace Franken.